An Application of Non-additive Measures and Corresponding Integrals in Tourism Management
Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive property. An important feature of non –additive measu...
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| Format: | Article |
| Language: | English |
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University of Baghdad, College of Science for Women
2020-03-01
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| Series: | مجلة بغداد للعلوم |
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| Online Access: | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4935 |
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| author | Sabri et al. |
| author_facet | Sabri et al. |
| author_sort | Sabri et al. |
| collection | DOAJ |
| description | Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive property. An important feature of non –additive measures and fuzzy integrals is that they can represent the importance of individual information sources and interactions among them. There are many applications of non-additive measures and fuzzy integrals such as image processing, multi-criteria decision making, information fusion, classification, and pattern recognition. This paper presents a mathematical model for discussing an application of non-additive measures and corresponding integrals in tourism management. First, the problem of tourism management is described for one of the tourism companies in Iraq. Then, fuzzy integrals (Sugeno integral, Choquet integral, and Shilkret integral) are applied with respect to non-additive measures to evaluate the grade of the gratification of the tourist of staying in a particular town for determining the best evaluation. |
| format | Article |
| id | doaj-art-137f2585abc24eec98c8a756640c9b9c |
| institution | Kabale University |
| issn | 2078-8665 2411-7986 |
| language | English |
| publishDate | 2020-03-01 |
| publisher | University of Baghdad, College of Science for Women |
| record_format | Article |
| series | مجلة بغداد للعلوم |
| spelling | doaj-art-137f2585abc24eec98c8a756640c9b9c2025-08-20T03:58:07ZengUniversity of Baghdad, College of Science for Womenمجلة بغداد للعلوم2078-86652411-79862020-03-0117110.21123/bsj.2020.17.1.0172An Application of Non-additive Measures and Corresponding Integrals in Tourism ManagementSabri et al.Non-additive measures and corresponding integrals originally have been introduced by Choquet in 1953 (1) and independently defined by Sugeno in 1974 (2) in order to extend the classical measure by replacing the additivity property to non-additive property. An important feature of non –additive measures and fuzzy integrals is that they can represent the importance of individual information sources and interactions among them. There are many applications of non-additive measures and fuzzy integrals such as image processing, multi-criteria decision making, information fusion, classification, and pattern recognition. This paper presents a mathematical model for discussing an application of non-additive measures and corresponding integrals in tourism management. First, the problem of tourism management is described for one of the tourism companies in Iraq. Then, fuzzy integrals (Sugeno integral, Choquet integral, and Shilkret integral) are applied with respect to non-additive measures to evaluate the grade of the gratification of the tourist of staying in a particular town for determining the best evaluation.http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4935Choquet integral, Non-additive measures, Shilkret integral, Sugeno integral, Tourism management. |
| spellingShingle | Sabri et al. An Application of Non-additive Measures and Corresponding Integrals in Tourism Management مجلة بغداد للعلوم Choquet integral, Non-additive measures, Shilkret integral, Sugeno integral, Tourism management. |
| title | An Application of Non-additive Measures and Corresponding Integrals in Tourism Management |
| title_full | An Application of Non-additive Measures and Corresponding Integrals in Tourism Management |
| title_fullStr | An Application of Non-additive Measures and Corresponding Integrals in Tourism Management |
| title_full_unstemmed | An Application of Non-additive Measures and Corresponding Integrals in Tourism Management |
| title_short | An Application of Non-additive Measures and Corresponding Integrals in Tourism Management |
| title_sort | application of non additive measures and corresponding integrals in tourism management |
| topic | Choquet integral, Non-additive measures, Shilkret integral, Sugeno integral, Tourism management. |
| url | http://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4935 |
| work_keys_str_mv | AT sabrietal anapplicationofnonadditivemeasuresandcorrespondingintegralsintourismmanagement AT sabrietal applicationofnonadditivemeasuresandcorrespondingintegralsintourismmanagement |